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Gopi Krishna Tummala

Archives

All the articles I've archived.

2026 4
February 2
  • Intermediate Fundamentals
    25 MIN READ

    Backpropagation — The Math Behind Learning

    A complete derivation of backpropagation for MLPs — from chain rule intuition to delta propagation, with a worked numerical example showing exactly how errors flow backward through a network.

January 2
2025 39
December 4
  • Advanced GenAI Systems
    45 MIN READ

    Building Production-Grade Multimodal RAG Systems

    From naive vector search to industry-standard multimodal RAG. Master hybrid search, query rewriting, cross-encoder reranking, and the architecture of high-precision retrieval systems.

  • Advanced MLOps & Production
    25 MIN READ

    The Infrastructure-First MLOps Roadmap: From Data DNA to Agentic AI

    Standard MLOps advice tells you to learn Git and Docker. But for the next generation of AI Engineers, that's just the baseline. This roadmap focuses on the Infrastructure Round—deep-diving into how data is structured for speed, how it's fed into models, how those models scale across clusters, and how we squeeze every drop of performance out of the silicon.

November 5
February 1
January 29
  • Advanced MLOps & Production
    40 MIN READ

    Life of a Tensor: A Deep Dive into Production Inference

    A comprehensive deep-dive into production inference optimization, tracing the path of a request through LLM and diffusion model serving systems. Understanding the bottlenecks from gateway to GPU kernel execution.

  • Advanced Fundamentals
    25 MIN READ

    XGBoost — The Art of Boosting Trees with Second-Order Gradients

    A deep dive into XGBoost — how second-order Taylor approximations and sophisticated regularization make it the dominant algorithm for structured data, bridging mathematical rigor with system engineering excellence.

  • Advanced Robotics
    40 MIN READ

    Diffusion for Action: Trajectories and Policy

    How diffusion models predict action sequences instead of pixels. Covers Diffusion Policy, world models for robotics, and connecting diffusion to reinforcement learning for autonomous systems.

  • Advanced GenAI Systems
    40 MIN READ

    Image Diffusion Models: From U-Net to DiT

    The evolution of image diffusion architectures. Learn how we moved from convolutional U-Nets to scalable Diffusion Transformers (DiT), and why treating images like language changed everything.

  • Advanced GenAI Systems
    45 MIN READ

    The Frontier: Sora, Veo, and the Future of Video

    Exploring the state-of-the-art in video generation. Learn how Sora and Veo use Spatiotemporal Transformers to simulate the physical world, and the challenges of achieving perfect motion fidelity.

  • Advanced GenAI Systems
    45 MIN READ

    The Training Lifecycle: From Noise to Nuance

    How to train a world-class diffusion model. Covers the complete lifecycle: from large-scale pre-training on noisy web data to specialized post-training, alignment, and aesthetic fine-tuning.

  • Advanced GenAI Systems
    40 MIN READ

    Sampling & Guidance: The Dialects of Noise

    How to accelerate diffusion sampling and steer creativity. Learn the mechanics of DDIM, DPM-Solver, Classifier-Free Guidance (CFG), and the math of negative prompting.

  • Advanced GenAI Systems
    40 MIN READ

    Video Diffusion: The Fourth Dimension

    The fundamentals of video diffusion models. Learn how we extend 2D diffusion to time, the mechanics of temporal attention, and the architectural shifts required for motion consistency.

  • Advanced Robotics
    40 MIN READ

    Module 01: The "Why" and The Architecture

    Why L5 autonomy is harder than a moon landing. Understanding ODD, latency loops, compute constraints, and the modern Hybrid Architecture (Modular vs. End-to-End).

  • Advanced Robotics
    45 MIN READ

    Module 02: The Senses of an Autonomous Vehicle

    The raw senses of an autonomous vehicle: What data does each sensor provide? Covers cameras, radar, LiDAR, ultrasonics, and microphones—their physics, strengths, weaknesses, and why fusion is necessary.

  • Advanced Robotics
    30 MIN READ

    Module 03: The Bedrock (Calibration & Transforms)

    If you don't know where your eyes are relative to your feet, you trip. Covers intrinsics, extrinsics, SE(3) transforms, online vs. offline calibration, and time synchronization.

  • Advanced Robotics
    40 MIN READ

    Module 05: Mapping — The Memory of the Road

    How autonomous vehicles remember the world. Covers HD maps, lane graphs, offline vs. online mapping, MapTR, and the map-heavy vs. map-light debate.

  • Advanced Robotics
    65 MIN READ

    Module 06: Perception — Seeing the World

    From pixels to 4D realities: How AVs understand their environment. Deep dive into BEV Transformers, Panoptic Occupancy, Scene Flow, and Foundation Models for open-world perception.

  • Advanced GenAI Systems
    40 MIN READ

    Physics-Aware Video Diffusion: From Pixels to Laws

    How to move from visual imitation to law-governed motion. Deep dive into injecting PDEs into neural networks, implicit physics extraction, and LLM-guided physical reasoning.

  • Intermediate Fundamentals
    20 MIN READ

    The Transformer — How Machines Pay Attention

    An intuitive introduction to the Transformer architecture — from the attention mechanism to self-attention and cross-attention, using language translation as a concrete example.

  • Advanced GenAI Systems
    45 MIN READ

    Diffusion — From Molecules to Machines

    A deep dive into the physics and probability of diffusion models. Learn how reversing a stochastic process became the foundation for modern generative AI, from Stable Diffusion to robotics and protein design.

2024 1
December 1
2019 1
January 1
2017 1
November 1